General opinions of the popular ships :
Rin x Shiemi : The only canon ship I honestly see. I think at one point she might have crushed on Yukio, but after Rin's true acceptance of her (Despite her weirdness) she really appreciates what he has to say and has grown to love him.
Shiemi x Yukio : I never thought either one of them were that interested in each other to begin with, but if it is still there, I see a point of contention between the twins over it. Not necessarily that they fight 'over' her but when it comes to light that one of them has clearly earned her affection, it's going to do some personal/self-esteem damage to the other one.
Shura x Yukio : I don't see any romantic implications there, because Yukio really dislikes her personality and life choices. He may really care for her as a friend/mentor to himself and Rin, but he could never be with her. They'd constantly scream and fight over every tiny little thing.
Rin x Izumo : They come off as a potential sibling/family type relationship to me, or that a relationship like that is growing, now that we've got some insight into Izumo's demonic relations, and Rin will want to find some common ground with her, but I see nothing there romance wise.
Shima x Izumo : I have no idea. I used to ship them but I don't know that Shima is going to be redeemed as a character.
Bon x Izumo : The only real possibility I see (at least among the ExWires). They tease and mock each other every five minutes and it just comes off as more genuine than Shima's flirting.